Higher-order parabolic variational inequality in unbounded domains
We prove the existence and uniqueness of a solution of a nonlinear parabolic variational inequality in an unbounded domain without conditions at infinity. In particular, the initial data may infinitely increase at infinity, and a solution of the inequality is unique without any restrictions on its behavior at infinity.
English version (Springer): Ukrainian Mathematical Journal 60 (2008), no. 7, pp 1114-1135.
Citation Example: Medvid’ I. M. Higher-order parabolic variational inequality in unbounded domains // Ukr. Mat. Zh. - 2008. - 60, № 7. - pp. 949–968.